Some modest Yahtzee goals
Discrete Mathematics
Level
3
If the probability of getting at least one pair of matching dice when rolling five 6-sided dice is \(\frac{a}{b}\), where \(a\) and \(b\) are positive co-prime integers, then what is \(a+b\)?
Note: Three-of-a-kind, four-of-a-kind, full house, yahtzee, or two pairs would all count as "at least one pair of matching dice." However, a straight (\(\{1,2,3,4,5\}\) or \(\{2,3,4,5,6\}\)) or a small straight would not count.
Check out The anti-Yahtzee first to make finding the solution to this problem trivial.
by
Andy Hayes